Hilbert, David (1862-1943)

I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.

Report on Number Theory, 1897.

Hilbert, David (1862-1943)

The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.

Hilbert, David (1862-1943)

Hilbert, David (1862-1943)

How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.

Hilbert, David (1862-1943)

Physics is much too
hard for physicists.

Constance Reid,
Hilbert,
London: Allen and
Unwin, 1970.

Hilbert, David (1862-1943)

Mathematics is a game played according to certain simple rules with meaningless marks on paper.